An Improved Formula for Jacobi Rotations
arXiv:1806.078761.24 citationsh-index: 10
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It provides a more accurate method for a fundamental numerical linear algebra operation, but the improvement is incremental.
The paper presents an improved algorithm for constructing Jacobi rotations, resulting in a more accurate code for computing eigenvalues and eigenvectors of real symmetric 2x2 matrices.
We present an improved form of the algorithm for constructing Jacobi rotations. This is simultaneously a more accurate code for finding the eigenvalues and eigenvectors of a real symmetric 2x2 matrix.